Examples

Polynomial equations appear in a wide variety of topics.

Applications in the Sciences

A story about how game theory meets multilinear systems and product of simplices.

A classical problem from robotics

Triangulation of a dinosaur

environmental and energy stress response of the bacterium Bacillus subtilis

The conformation space of cyclooctane

Using HomotopyContinuation.jl for a problem in kinematics

Computing a macroscopic configuration

Reconstructing a tensor from linear measurements

Computing the reach

Sampling an algebraic variety and computing its homology

An adventure at the intersection of statistics and nonlinear algebra.

By intersecting with linear spaces

For mixtures of three Gaussians

Computing critical points

Integrating functions on a variety

Let two ellipses grow until they intersect

Computing the degree of a cubic symmetroid

Using homotopy continuation for computing the CPD of a tensor

Using HomotopyContinuation.jl for computing tritangents of sextic curves

How to compute curvature

All of them can be real.

Using HomotopyContinuation.jl for a problem in enumerative geometry